A. what do you notice about each exterior angle measurement when you arrange the triangles so that the three angles form a straight line? b. if angle 1 = 60o and angle 2 = 90o, what is the measurement of angle 3? c. if angle 1 = 60o and angle 2 = 90o, what is the sum of angles 1 and 2? d. what do you notice about the sum of the angles inside the triangle and the exterior angle measurement?

We are given with figure of Right angled triangle.

m∠2 = 90°

A).

When we arranged the triangles so that the three angles form a straight line.

We notice that,

Measure of the exterior angle of ∠1 =  ∠2 + ∠3

Measure of the exterior angle of ∠2 =  ∠1 + ∠3

Measure of the exterior angle of ∠3 =  ∠1 + ∠2

B).

If, m∠1 = 60° and m∠2 = 90°

To find: m∠3

From Figure,

∠3 + ∠2 + ∠1 = 180° ( linear pair angles )

∠3 + 90 + 60 = 180

∠3 = 180 - 150

∠3 = 30°

C).

If, m∠1 = 60° and m∠2 = 90°

Sum of both angles = 60 + 90 = 150°

D).

Sum of the interior angle and Exterior angles

= ∠1 + ∠2 + ∠3 + (∠2 + ∠3) + (∠1 + ∠3) + (∠1 + ∠2)

= 2 ∠1 + 2 ∠2 + 2 ∠3

= 2 ( ∠1 + ∠2 + ∠3 )

= 2 × 180

= 360°

the cat is blue because the probability of extension towards the prefix of the diameter of the circle could only mathematically equal to the sum of the roots of the carrots from   your garden.

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places